What is the Least Common Multiple of 31201 and 31210?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 31201 and 31210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31201 and 31210, than apply into the LCM equation.

GCF(31201,31210) = 1
LCM(31201,31210) = ( 31201 × 31210) / 1
LCM(31201,31210) = 973783210 / 1
LCM(31201,31210) = 973783210

Least Common Multiple (LCM) of 31201 and 31210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31201 and 31210. First we will calculate the prime factors of 31201 and 31210.

Prime Factorization of 31201

Prime Factorization of 31210

Now multiplying the highest exponent prime factors to calculate the LCM of 31201 and 31210.

LCM(31201,31210) = 41¹ × 761¹ × 2¹ × 5¹ × 3121¹
LCM(31201,31210) = 973783210